Lower bounds on the spectra of symmetric matrices with nonnegative entries
- Constantine, Gregory
Publication date
February 1985
DOI Publisher
Published by Elsevier Inc. ISSN
0024-3795 Citation count (estimate)
32Abstract
AbstractIf we normalize a symmetric n × n matrix with nonnegative entriesso that its largest entry is 1, then its spectrum is bounded below by −n2. The lower bound is achieved in all even dimensions for (and only for) adjacency matrices of complete bipartite graphs with equal parts
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